select the coordinate A and B after dilation of the line segment AB with a scale factor of 1/3 centered at the origin where the endpoints are (-6,3) and (-12,9)
To find the coordinates of A and B after dilation with a scale factor of 1/3 centered at the origin, we can multiply the coordinates of the original endpoints by the scale factor.
Given that the original endpoints are A (-6, 3) and B (-12, 9), we can find the new coordinates as follows:
For point A:
x-coordinate of A after dilation = (x-coordinate of A) * scale factor
= -6 * 1/3
= -2
y-coordinate of A after dilation = (y-coordinate of A) * scale factor
= 3 * 1/3
= 1
Therefore, the new coordinates of point A after dilation are (-2, 1).
For point B:
x-coordinate of B after dilation = (x-coordinate of B) * scale factor
= -12 * 1/3
= -4
y-coordinate of B after dilation = (y-coordinate of B) * scale factor
= 9 * 1/3
= 3
Therefore, the new coordinates of point B after dilation are (-4, 3).